What is the Greatest Common Factor of 83847 and 83862?

Greatest common factor (GCF) of 83847 and 83862 is 3.

GCF(83847,83862) = 3

We will now calculate the prime factors of 83847 and 83862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83847 and 83862.

How to find the GCF of 83847 and 83862?

We will first find the prime factorization of 83847 and 83862. After we will calculate the factors of 83847 and 83862 and find the biggest common factor number .

Step-1: Prime Factorization of 83847

Prime factors of 83847 are 3, 19, 1471. Prime factorization of 83847 in exponential form is:

83847 = 3¹ × 19¹ × 1471¹

Step-2: Prime Factorization of 83862

Prime factors of 83862 are 2, 3, 1553. Prime factorization of 83862 in exponential form is:

83862 = 2¹ × 3³ × 1553¹

Step-3: Factors of 83847

List of positive integer factors of 83847 that divides 83847 without a remainder.

1, 3, 19, 57, 1471, 4413, 27949

Step-4: Factors of 83862

List of positive integer factors of 83862 that divides 83847 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1553, 3106, 4659, 9318, 13977, 27954, 41931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83847 and 83862. The biggest common factor number is the GCF number.
So the greatest common factor 83847 and 83862 is 3.

Also check out the Least Common Multiple of 83847 and 83862